Decimal Numbers

The most commonly used number system is decimal. This is based on the number 10 and numbers in the system use the digits 0 to 9. That is ten digits in all. An example of a 10 based number is 123. This can be thought of as: 1 one hundred, plus 2 tens, plus 3 ones. The table below shows how this can be represented.

 hundreds 
 tens  ones
 1  2  3

123 = 1x100 + 2x10 + 3x1

The hundreds, tens and ones are all powers of 10. They can be written in the following way. Note: It is a law of Mathematics that any number to the power of 0 is always 1.

 102  101  100
 1  2  3

123 = 1x102 + 2x101 + 3x100

Here is another example.

 1000 = 103  100 = 102  10 = 101  1 = 100
 6  7  4  9

6742 = 6x103 + 7x102 + 4x101 + 9x100